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Dynamics of a nonlocal SIS epidemic model with free boundary

Authors :
Wan-Tong Li
Jia-Feng Cao
Fei-Ying Yang
Source :
Discrete & Continuous Dynamical Systems - B. 22:247-266
Publication Year :
2017
Publisher :
American Institute of Mathematical Sciences (AIMS), 2017.

Abstract

This paper is concerned with the spreading or vanishing of a epidemic disease which is characterized by a diffusion SIS model with nonlocal incidence rate and double free boundaries. We get the full information about the sufficient conditions that ensure the disease spreading or vanishing, which exhibits a detailed description of the communicable mechanism of the disease. Our results imply that the nonlocal interaction may enhance the spread of the disease.

Details

ISSN :
1553524X
Volume :
22
Database :
OpenAIRE
Journal :
Discrete & Continuous Dynamical Systems - B
Accession number :
edsair.doi...........e06a772439fb5dfad1dd1bcc8c400cf3
Full Text :
https://doi.org/10.3934/dcdsb.2017013